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Concerning collectionwise Hausdorff spaces

Published online by Cambridge University Press:  17 April 2009

James R. Boone
James R. Boone
Affiliation:
Department of Mathematics, Texas A&M University, College Station, Texas, USA.
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Abstract

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In this paper the notion of a space which has property (ω) pointwise is studied. The primary application of this concept is a reformulation of Tall's existence theorem for normal non-metrizable metacompact Moore spaces in terms of families which are finite on convergent sequences. Since the first countability in Tall's theorem yields an abundance of convergent sequences, this reformulation places the existence theorem in a natural setting.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 11 , Issue 2 , October 1974 , pp. 255 - 261
Copyright
Copyright © Australian Mathematical Society 1974

References

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